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Simplifying 3(3c + -1) + -2 = 6c + 7 Reorder the terms: 3(-1 + 3c) + -2 = 6c + 7 (-1 * 3 + 3c * 3) + -2 = 6c + 7 (-3 + 9c) + -2 = 6c + 7 Reorder the terms: -3 + -2 + 9c = 6c + 7 Combine like terms: -3 + -2 = -5 -5 + 9c = 6c + 7 Reorder the terms: -5 + 9c = 7 + 6c Solving -5 + 9c = 7 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -5 + 9c + -6c = 7 + 6c + -6c Combine like terms: 9c + -6c = 3c -5 + 3c = 7 + 6c + -6c Combine like terms: 6c + -6c = 0 -5 + 3c = 7 + 0 -5 + 3c = 7 Add '5' to each side of the equation. -5 + 5 + 3c = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 3c = 7 + 5 3c = 7 + 5 Combine like terms: 7 + 5 = 12 3c = 12 Divide each side by '3'. c = 4 Simplifying c = 4
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